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Finding the Fourth Proportional to 761.60, 1,141.64 and 299.09

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Solution

The fourth proportional to 761.60, 1,141.64 and 299.09 is: 448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.60 : 1,141.64 = 299.09 : x
  2. Step 2: Convert to fraction form
    761.60/1,141.64 = 299.09/x
  3. Step 3: Cross multiply
    761.60x = 1,141.64 × 299.09
  4. Step 4: Simplify right side
    761.60x = 341,445.90
  5. Step 5: Solve for x
    x = 341,445.90/761.60
  6. Step 6: Final answer
    x = 448.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.